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114284034 = 2341973581
BaseRepresentation
bin1101100111111…
…01011000000010
321222001020020000
412303331120002
5213224042114
615201300430
72555253414
oct663753002
9258036200
10114284034
1159568317
1232334716
131a8a52b7
141126c9b4
15a076e09
hex6cfd602

114284034 has 40 divisors (see below), whose sum is σ = 257452668. Its totient is φ = 37890720.

The previous prime is 114284017. The next prime is 114284057. The reversal of 114284034 is 430482411.

It can be written as a sum of positive squares in 2 ways, for example, as 83448225 + 30835809 = 9135^2 + 5553^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114283989 and 114284007.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30124 + ... + 33704.

Almost surely, 2114284034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114284034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128726334).

114284034 is an abundant number, since it is smaller than the sum of its proper divisors (143168634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114284034 is a wasteful number, since it uses less digits than its factorization.

114284034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 114284034 is about 10690.3710880399. The cubic root of 114284034 is about 485.2831223255.

The spelling of 114284034 in words is "one hundred fourteen million, two hundred eighty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 394 591 1182 1773 3546 3581 5319 7162 10638 10743 15957 21486 31914 32229 64458 96687 193374 290061 580122 705457 1410914 2116371 4232742 6349113 12698226 19047339 38094678 57142017 114284034